GCD of 724, 701, 74, 165 Calculator

Given Input numbers are 724, 701, 74, 165

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Greatest Common Divisior

We found the divisors of 724, 701, 74, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 701, 74, 165 is 1.

Therefore, GCD of numbers 724, 701, 74, 165 is 1

Given Input Data is 724, 701, 74, 165

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 701 is 701

Prime Factorization of 74 is 2 x 37

Prime Factorization of 165 is 3 x 5 x 11

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(724, 701) = 507524

GCD(724, 701) = ( 724 x 701 ) / 507524

GCD(724, 701) = 507524 / 507524

GCD(724, 701) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 165

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

GCD(1, 165) = 165 / 165

GCD(1, 165) = 1

GCD of 724, 701, 74, 165 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 142, 493, 70, 439
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• GCD of 151, 405, 56, 452
• GCD of 716, 409, 51, 766
• GCD of 917, 191, 48, 566

1. What is the GCD of 724, 701, 74, 165?

GCD of 724, 701, 74, 165 is 1

2. Where do I get the detailed procedure to find GCD of 724, 701, 74, 165?

You can find a detailed procedure to find GCD of 724, 701, 74, 165 on our page.

3. How to find GCD of 724, 701, 74, 165 on a calculator?

You can find the GCD of 724, 701, 74, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.